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Structurally Unstable Quadratic Vector Fields of Codimension One

Structurally Unstable Quadratic Vector Fields of Codimension One

Paperback

General MathematicsGeneral Science

ISBN10: 3319921169
ISBN13: 9783319921167
Publisher: Birkhauser
Published: Jul 6 2018
Pages: 267
Weight: 0.86
Height: 0.58 Width: 6.14 Depth: 9.21
Language: English

Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors' work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them.

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General Mathematics